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Question
angelina surveyed the students in her neighborhood and obtained the following data: student, school level, school type; student 1, elementary school, public; student 2, middle school, private; student 3, middle school, private; student 4, elementary school, private; student 5, elementary school, public; student 6, elementary school, private; student 7, high school, public; student 8, elementary school, public; student 9, middle school, public; student 10, middle school, private; student 11, high school, public; student 12, elementary school, private; student 13, high school, private; student 14, middle school, public; student 15, middle school, public; student 16, middle school, private; student 17, elementary school, public; student 18, middle school, public; student 19, elementary school, public. construct the contingency table that summarizes the school enrollment by level and type: public, private, total; elementary school, , , ; middle school, , , ; high school, , , ; total, , , . compute the totals for each row and column and the overall total. question help: video written example message instructor post to forum
Step1: Count elementary - public students
Count the number of elementary - school students with public - school type. By looking at the data, we find 7 such students.
Step2: Count elementary - private students
Count the number of elementary - school students with private - school type. There are 4 such students.
Step3: Calculate total elementary students
Add the number of elementary - public and elementary - private students. $7 + 4=11$.
Step4: Count middle - public students
Count the number of middle - school students with public - school type. There are 6 such students.
Step5: Count middle - private students
Count the number of middle - school students with private - school type. There are 5 such students.
Step6: Calculate total middle students
Add the number of middle - public and middle - private students. $6 + 5 = 11$.
Step7: Count high - public students
Count the number of high - school students with public - school type. There are 2 such students.
Step8: Count high - private students
Count the number of high - school students with private - school type. There are 2 such students.
Step9: Calculate total high students
Add the number of high - public and high - private students. $2+2 = 4$.
Step10: Calculate total public students
Add the number of public students in elementary, middle and high schools. $7+6 + 2=15$.
Step11: Calculate total private students
Add the number of private students in elementary, middle and high schools. $4 + 5+2=11$.
Step12: Calculate overall total
Add the total number of public and private students. $15 + 11=26$.
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| Public | Private | Total | |
|---|---|---|---|
| Middle School | 6 | 5 | 11 |
| High School | 2 | 2 | 4 |
| Total | 15 | 11 | 26 |